GCD of 309, 133, 24, 947 Calculator

Given Input numbers are 309, 133, 24, 947

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 309, 133, 24, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 133, 24, 947 is 1.

Therefore, GCD of numbers 309, 133, 24, 947 is 1

Given Input Data is 309, 133, 24, 947

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 309 is 3 x 103

Prime Factorization of 133 is 7 x 19

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 947 is 947

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(309, 133) = 41097

GCD(309, 133) = ( 309 x 133 ) / 41097

GCD(309, 133) = 41097 / 41097

GCD(309, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 309, 133, 24, 947 is 1

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• GCD of 184, 235, 63, 464
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• GCD of 119, 465, 17, 766

1. What is the GCD of 309, 133, 24, 947?

GCD of 309, 133, 24, 947 is 1

2. Where do I get the detailed procedure to find GCD of 309, 133, 24, 947?

You can find a detailed procedure to find GCD of 309, 133, 24, 947 on our page.

3. How to find GCD of 309, 133, 24, 947 on a calculator?

You can find the GCD of 309, 133, 24, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.